Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Slope Problem for Trajectories of Holomorphic Semigroups in the Unit Disk

Slope Problem for Trajectories of Holomorphic Semigroups in the Unit Disk It has been an open problem for about 10 years whether every trajectory of a parabolic one-parameter semigroup in the unit disk tends to the Denjoy–Wolff point with a definite (and common for all trajectories) slope. In this paper, we give the negative answer to this question. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Slope Problem for Trajectories of Holomorphic Semigroups in the Unit Disk

Loading next page...
 
/lp/springer-journals/slope-problem-for-trajectories-of-holomorphic-semigroups-in-the-unit-xBRbDvgTQX
Publisher
Springer Journals
Copyright
Copyright © 2014 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/s40315-014-0092-9
Publisher site
See Article on Publisher Site

Abstract

It has been an open problem for about 10 years whether every trajectory of a parabolic one-parameter semigroup in the unit disk tends to the Denjoy–Wolff point with a definite (and common for all trajectories) slope. In this paper, we give the negative answer to this question.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Sep 30, 2014

References